Higher-spin Currents and Thermal Flux from Hawking Radiation

TL;DR

This paper demonstrates how higher-spin currents in conformal field theory can be used to reproduce the thermal Hawking radiation spectrum from black holes, generalizing known results to include higher-spin contributions.

Contribution

It introduces a method to analyze higher-spin currents under conformal transformations, leading to a generalized Schwarzian derivative and reproducing Hawking radiation spectra.

Findings

Reproduces Hawking radiation spectrum using higher-spin currents

Generalizes Schwarzian derivative for higher-spin fields

Shows transformation properties of higher-spin currents in black hole backgrounds

Abstract

Quantum fields near black hole horizons can be described in terms of an infinite set of d=2 conformal fields. In this paper, by investigating transformation properties of general higher-spin currents under a conformal transformation, we reproduce the thermal distribution of Hawking radiation in both cases of bosons and fermions. As a byproduct, we obtain a generalization of the Schwarzian derivative for higher-spin currents.